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Finding the Fourth Proportional to 8,721.74, 12,035.94 and 4,742.86

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Solution

The fourth proportional to 8,721.74, 12,035.94 and 4,742.86 is: 6,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.74 : 12,035.94 = 4,742.86 : x
  2. Step 2: Convert to fraction form
    8,721.74/12,035.94 = 4,742.86/x
  3. Step 3: Cross multiply
    8,721.74x = 12,035.94 × 4,742.86
  4. Step 4: Simplify right side
    8,721.74x = 57,084,748.30
  5. Step 5: Solve for x
    x = 57,084,748.30/8,721.74
  6. Step 6: Final answer
    x = 6,545.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.